The surface area of a triangular pyramid is 2304 cm2. If all the faces of the pyramid are congruent, what is the area of one face of this pyramid? A. 576 cm2 B. 768 cm2 C. 6912 cm2 D. 9216 cm2

Question

Mathematics

Naomi Burnett

19 December, 02:12

The surface area of a triangular pyramid is 2304 cm2. If all the faces of the pyramid are congruent, what is the area of one face of this pyramid? A. 576 cm2 B. 768 cm2 C. 6912 cm2 D. 9216 cm2

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Miles · Answer 1

Okay! So to start this problem, we need to look at the given information a little closer to make sure we have everything we need! This is a triangular pyramid, meaning that it has a total of 4 sides, which are all congruent triangles, meaning they all have the same surface area! We are also given the total surface area, which is 2304 cm^2.

If we need to find out how big one of the sides are, we should just have to divide the total surface area by 4, because there are 4 sides with the same surface area! 2304/4 = 576 cm^2, so your answer should be A) 576 cm2!